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Finding the Fourth Proportional to 1,223.97, 1,832.87 and 811.86

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Solution

The fourth proportional to 1,223.97, 1,832.87 and 811.86 is: 1,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.97 : 1,832.87 = 811.86 : x
  2. Step 2: Convert to fraction form
    1,223.97/1,832.87 = 811.86/x
  3. Step 3: Cross multiply
    1,223.97x = 1,832.87 × 811.86
  4. Step 4: Simplify right side
    1,223.97x = 1,488,033.84
  5. Step 5: Solve for x
    x = 1,488,033.84/1,223.97
  6. Step 6: Final answer
    x = 1,215.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.